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Finding the Third Proportional to 267,224.06 and 663,276.09

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Solution

The third proportional to 267,224.06 and 663,276.09 is: 1,646,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,224.06 : 663,276.09 = 663,276.09 : x
  2. Step 2: Convert to fraction form
    267,224.06/663,276.09 = 663,276.09/x
  3. Step 3: Cross multiply
    267,224.06x = 663,276.09 × 663,276.09
  4. Step 4: Simplify right side
    267,224.06x = 439,935,176,540.26
  5. Step 5: Solve for x
    x = 439,935,176,540.26/267,224.06
  6. Step 6: Final answer
    x = 1,646,315.73

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These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.